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 Sep 25 comment What are imaginary numbers? You seem to have been persuaded to go well beyond the question and into the realms of hypercomplex numbers. While everyone else seems to have enjoyed the comments & extensions, I haven't seen if @SachinKainth found the answer helpful! Sep 21 comment What are imaginary numbers? @CliveN Possiby not. Your answer is probably the clearest brief history of the evolution of number systems I've seen. However you did mention that the 'number plane' ... contains our previously held 'number line' and that would have been a good place to mention it. Sep 20 comment What are imaginary numbers? +1 but you didn't complete the definition that the imaginary number line as simply the axis orthogonal to the real number line in the complex number plane so that every complex number can be expressed as the sum of a real number and an imaginary number. Sep 20 awarded Supporter Aug 20 awarded Autobiographer Aug 1 comment Solving $5^n > 4,000,000$ without a calculator I remember log10(2) as 0.3010 and hence log10(5) is 0.6990 so 0.3 and 0.7 are much closer than "within a few %"!